Solve the system of inequalities:
6−4a 2
3a−1<8
Step-by-step explanation:
6 - 4a < 2
6 - 2 < 4a
4 < 4a
1 < a
6 - a > 2
6 - 2 > a
4 > a
3a - 1 < 8
3a < 8 + 1
3a < 9
a < 3
What is the remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2?
A. -23
B. 23
C. -3
D. 3
By the remainder theorem, dividing [tex]f(x)[/tex] by [tex]x-2[/tex] leaves a remainder of [tex]f(2)[/tex], which is
[tex]f(2)=2(2)^4+(2)^3-8(2)-1=\boxed{23}[/tex]
which makes B the correct answer.
The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomial based on degree is linear, quadratic, cubic.
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial x - a, the remainder of is to f(a)
Given that f(x) = 2x⁴ + x³ - 8x - 1 is divided by x - 2
x - 2 = 0
x = 2
f(2) = 2(2)⁴ + (2)³ - 8(2) - 1 = 23
Hence The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23
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evaluate the square root of x^16
Answer: its going to be x^4
Find the value of x in the triangle shown below.
x =
37°
56°
What is the value of x?
Answer:
The value of x is 87.
Step-by-step explanation:
37 + 56 = 93
180 - 93 = 87
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
-16p + 37 = 49 -21p
-16p +21p = 49 - 37
5p = 12
p = 12/5
A.
-55 + 12p = 5p + 16
7p = 71
p = 71/7
B.
2+1.25p = -3.75p +10
5p = 8
p = 8/5
C.
-14 + 6p = -9 -6p
12p = 5
p = 5/12
D.
1.5p - 5 + 2.25p = 7 - 1.25p
5p = 12
p = 12/5
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
The graph of the SLOPES of the red function has which color?
Answer: Orange.
Step-by-step explanation:
The graph of the slopes of the red function is equal to the derivate of the red function.
First, let's analyze the red function (from left to right).
First we can see that the red function is positive, and it decreases (so we must have a negative slope here).
Then we can see a little inflection point where the red function seems to be constant for a bit (here the slope must become zero for a little bit).
Then the red function keeps decreasing (so the slope is negative again).
Then the graph of the slope is:
Negative, then it increases to zero, and it decreases again.
The only graph that does this is the orange one, so the answer is orange.
How many solutions does the following equation have?
13x - 8 + 7x – 2 = 11+ 6x -- 14x – 5
STEP BY STEP:
13x - 8 + 7x – 2 = 11+ 6x -- 14x – 5
Combine like terms
20x-8-2 = 20x+11-5
20x-10 = 20x+6
Subtract with -20x on both sides and the result is:
[tex]-10\neq 6[/tex]
The answer is NO SOLUTION
I really need help on this problem!!
Mr.Allen wants to build a pen as large as possible for his pigs but unfortunately he can’t afford it and can only afford 24 feet of fencing he does not want his pigs to get out so there should be no gaps of holes in the pen
1. What the largest possible pen he can make for his pigs using the fencing he has . Draw out the different fences you can crest on a graph paper
2. What shape provided the largest area for his pigs
Answer:
a rectangle would provide the largest area for the pigs
solve
(3x) 9 = (4x) 5
Answer:
4 = 1x
Step-by-step explanation:
(3x)9 = (4x)5
9 = (1x) 5
4 = 1x
in 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?
Answer:
[tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that [tex]n = 154N38[/tex], then its sum of digits is:
[tex]x = 1 + 5+4+N+3+8[/tex]
[tex]x = 21+N[/tex] (Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0
[tex]x = 21+0[/tex]
[tex]x = 21[/tex] ([tex]3\times 7 = 21[/tex])
N = 3
[tex]x = 21+3[/tex]
[tex]x = 24[/tex] ([tex]3\times 8 = 24[/tex])
N = 6
[tex]x = 21+6[/tex]
[tex]x = 27[/tex] ([tex]3\times 9 = 27[/tex])
N = 9
[tex]x = 21+9[/tex]
[tex]x = 30[/tex] ([tex]3\times 10 = 30[/tex])
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:
[tex]154038 = 2\times 3\times 25673[/tex]
[tex]154338 =2\times 3\times 29 \times 887[/tex]
[tex]154638 = 2\times 3\times 3\times 11\times 11\times 71[/tex]
[tex]154938 = 2\times 3\times 7\times 7\times 17\times 31[/tex]
It is quite evident that [tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
What plus 32 equals 98
Answer:
66
Step-by-step explanation:
Answer:
Lets numeralise the question,
According to question 32+ ? = 98
So if we take the unknown value as x then we will get,
32+x=98
So by transposing we get,
x=98-32
= 66
So 66 should be added to 32 to get 98
A amusement park charges an admission fee of 25.00 and 5.50 for each ride Andy wrote an expression to find the total amount he spent after x number of rides what does the constant term in the expression represent
Answer:
The admissions fee($25)
Step-by-step explanation:
No matter what, the admissions fee stays the same. Your coefficient($5.50) is multiplied by the amount of rides taken(x)
(7x +6) - (5x - 4) = 180
Answer:
x= 85
Step-by-step explanation:
(7x+6)-(5x-4)=180
There is a negative 1 between the two parenthesis
-1(5x-4)
-5x+4
Now plug it back into the equation and take out the parenthesis
7x+6-5x+4= 180
2x+10=180 Now we can solve
-10 -10
2x= 170
2x/2 = 170/2
x= 85
I hope this helps! :)
Answer:
x=85
Step-by-step explanation:
What is the triangle congruence method that proves these triangles are congruent?
Answer:
SAS
Step-by-step explanation:
We know the bisector AB is congruent for both triangles, we know that angle ABD and ABC are both 90, and we know sgements BD and BC are congruent since it says the side length
I feel nice today, Here is 100 points
Answer:
oh well thanks
Step-by-step explanation:
Give the next three terms of each Sequence.
1. 2,9,16,23,30,...
2. 49,44,39,34,29,...
3. 81,27,9,3,1,...
4. 1,4,9,16,25,...
5. 18,14,10,6,2,.....
Use the given equation to complete the table: s = 16 t squared t (sec) s(ft) 0 1 2 3 Using the points from the table select the graph that best represents the equation. Graph A On a coordinate plane, a parabola opens up. It goes through (negative 1, 16), has a vertex at (0, 0), and goes through (1, 16). Graph B On a coordinate plane, a parabola opens up. It goes through (negative 1, 4), has a vertex at (0, 0), and goes through (1, 4). a. 0, 16, 64, 144; Graph A b. 0, 4, 8, 12; Graph A c. 0, 16, 64, 144; Graph B d. 0, 4, 8, 12; Graph B
Answer:
a 0, 16, 64,144 graph A edge
Step-by-step explanation:
The graph that best represents the equation is option A.
What is an Equation?
An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The equation is
s = 16t²
The table is
s t
0 16*0 = 0
1 16 * 1 = 16
2 16 * 4 = 64
3 16 * 8 = 108
The points represents a parabola opening upwards, vertex is at (0,0) and goes through the point (-1,16)
This has been confirmed by the graph plotted for the equation.
To know more about Equation
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Partial credit
00:00
Selma buys 10 juice boxes. She wants to give 2 juice boxes to each friend.
Part A
Which expressions can Selma use to figure out how many friends can get juice boxes? Choose all that apply
A.
10 - 2
B. 0 + 2. 2 + 24 + 2. 6 + 2
10 - 2
D
10 X 2
E. 10 - 2.8 - 2.6 -2.4 - 2.2 - 2
00:00
Part B
Solve the problem. How many friends can get juice boxes?
Enter you answer in the box
Answer:
A
Step-by-step explanation:
you will figure out how many friends can get juice boxes if you do 10-2 and you keep going until you have 0 left
6th grade question please help show work
Answer:
A. -6
Step-by-step explanation:
Simplify the given expression.
(6x^4 - 3x^2) + (x^2 - 5)(qx^2 + 5) =
= 6x^4 - 3x^2 + qx^4 + 5x^2 - 5qx^2 - 25
= 6x^4 + qx^4 + 2x^2 - 5qx^2 - 25
= (6 + q)x^4 + (2 - 5q)x^2 - 25
Set ti equal to the given solution.
(6 + q)x^4 + (2 - 5q)x^2 - 25 = 32x^2 - 25
The solution has no 4th degree term, so
6 + q = 0
q = -6
As a check, the solution's x^2 term is 32x^2, so
(2 - 5q)x^2 = 32x^2
2 - 5q = 32
-5q = 30
q = -6
Once again, we get q = -6.
Answer: A. -6
What multiply 12 and add to get -7
A basketball player stands near the middle of the court and throws the ball toward the basket.
The path of the ball is a parabola. The ball leaves the player's hands at a height of 6 feet above the ground. The
ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
Write a function to represent the height of the ball in terms of its distance from the player's hands?
Answer:
A function to represent the height of the ball in terms of its distance from the player's hands is [tex]y=\frac{-1}{54}(x-18)^2+12[/tex]
Step-by-step explanation:
General equation of parabola in vertex form [tex]y= a(x-h)^2+k[/tex]
y represents the height
x represents horizontal distance
(h,k) is the coordinates of vertex of parabola
We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
So,(h,k)=(18,12)
Substitute the value in equation
[tex]y=a(x-18)^2+12[/tex] ---1
The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0
So, y = 6
So,[tex]6=a(0-18)^2+12[/tex]
6=324a+12
-6=324a
[tex]\frac{-6}{324}=a[/tex]
[tex]\frac{-1}{54}=a[/tex]
Substitute the value in 1
So,[tex]y=\frac{-1}{54}(x-18)^2+12[/tex]
Hence a function to represent the height of the ball in terms of its distance from the player's hands is [tex]y=\frac{-1}{54}(x-18)^2+12[/tex]
I think I got this wrong so can someone please help me and explain it to me
Answer:
the answer is c
Step-by-step explanation:
Becuase he is given 100 dollars and he uses 20 dollars a day, so you put x with 20 to calculate how many days that he can spend $20 on
Day 1: money spent = 20
Day 2: total money spent = 20+20 = 2*20
So, for x days, total spent money should be 20*x = 20x
At an instant, say, after x days.
=> saving = total amount - spent
=> money left = 100 - 20x
=> y = 100 - 2x
=> y = - 2x + 100
Find the surface area of a rectangle and square units
Answer:
considering you didn't put anything to solve, I can't, but I will explain how
Step-by-step explanation:
basically, you multiple length x width. Considering you said surface area, which is normally used for prisms, you would find the are of the different rectangles and then add them all together if you were to do a rectangular prism.
g=1/6(w+40) Please solve it quickly
Answer:
I believe the answer is w=6g-40.
Answer:
g= 1 /6 w + 20/ 3
Step-by-step explanation:
6
∑
n=0 (−2n^2 +3n)
PLEASE HELP
4 children want to share 7 Brownies so that each person get the same amount how much brownies will each child get
Answer:
answer: 1.75 of a brownie
Step-by-step explanation:
you divided 7 by 4 to get 1.75
Answer:
[tex] \frac{7}{4} \: or \: 1 \: and \: \frac{3}{4} \: or \: 1.75 [/tex]
Step-by-step explanation:
you are dividing 7 brownies on 4 children so it's 7 divided by 4...
Find X and Y in this figure
Answer:
x = 6
y= 24
Step-by-step explanation:
90+ (3y+18) = 180. reason [being co-interior angle
(15x+30)+10x = 180. reason [being co-interior angle
Which graph best represents an increasing function?
A graph shows a non linear curve that joins the ordered pairs 0, 0, and 2.5, 1, and 4, 3.
A graph shows a non linear curve that joins the ordered pairs 0, 4 and 2, 1.5, and 4, 0.
A graph shows a straight line that joins the ordered pairs 0, 4 and 4, 4.
A graph shows a vertical straight line that joins the ordered pairs 4, 0 and 4, 4.
The graph that best represents an increasing function is (a) A graph shows a non linear curve that joins the ordered pairs (0, 0), and (2.5, 1), and (4, 3).
How to determine the graph that represents an increasing functionFor a graph to represent an increasing function, then as the input values increases, the output values must also increase
This means that:
As the x values increases, the y values must also increase
Hence, the graph that best represents an increasing function is (a)
This is so because as x increases from 0 through 2.5 to 4, y increases from 0 through 1 to 3
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The ski team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 18 eagles for $49.32. Company B sells 16 eagles for $43.36. Company C charges $41.55 for 15 eagles. Which company has the best buy?
Answer:
i think b im not sure but i think
Answer:
Company B
Step-by-step explanation:
A. 18e = 49.32 e = 2.74
B. 16e = 43.36 e = 2.71
C. 15e = 41.55 e = 2.77
How do I write the equation to get the answer ?
Answer:
which type of equation just tell we are here to help if we can
Answer: Take the information given in the situation. Consider the relationships between the amounts, numbers and unknowns that are in the description.
If the word "is" or "are" is included in the description, that is equivalent to an equal sign.
Words like "and," "also" "more than" and "combined" are clues that there may be addition. "Total" often means the sum of an addition equation.
"From" and "difference" are clues that there is subtraction.
"Times" "by" and "of" art clues for multiplication. "Find the Area of. . ." dedinitely requires multiplication.
"Ratio," 'into' "per" and "among" are clues to division.
Use a letter x, y, d, t, or whatever helps identify the
Step-by-step explanation: Without a specific situation, it is impossible to give a specific answer.
Examples: The total number of seats in the auditorium is 125. 75 tickets have been sold already. How many more tickets are left. (This is the unknown)
The Total is the given 75 plus the unknown.
125 = 75 + x is the equation to start with
What is three-fourths of twelve? "What" is the unknown.
x = 3/4 × 12 is the equation to start with.
The ratio of red marbles to blue marbles is 2:3 There are 25 marbles all together. How many red marbles and how many blue marbles.
In this question there are two equations
2r + 3b = 25 This is the equation for the total r = 2b/3 is the division
Substitute the value of "r" from the second equation to solve the first equation
2(2b/3) + 3b = 25
